Publication: Genesis of solitons arising from individual flows of the Camassa-Holm hierarchy
Genesis of solitons arising from individual flows of the Camassa-Holm hierarchy
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Loubet, E. (2006). Genesis of solitons arising from individual flows of the Camassa-Holm hierarchy. Communications on Pure and Applied Mathematics, 59, 408–465. https://doi.org/10.1002/cpa.20109
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The present work offers a detailed account of the large-time development of the velocity profile run by a single individual Hamiltonian flow of the Camassa-Holm (CH) hierarchy, the Hamiltonian employed being the reciprocal of any eigenvalue of the underlying spectral problem. In this simpler scenario, I prove some of the conjectures raised by McKean [27]. Notably, I confirm the ultimate shaping into solitons of the cusps that appear, near blowup sites, of any velocity profile emanating from an initial disposition for which breakdown o
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- Loubet, E
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Loubet, E. (2006). Genesis of solitons arising from individual flows of the Camassa-Holm hierarchy. Communications on Pure and Applied Mathematics, 59, 408–465. https://doi.org/10.1002/cpa.20109